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WORKS Algebra 2 Name Date Unit 9: Simplifying Radicals (Day 1) Parts of a radical expression: 2 8 When there is no index you assume that it is a . A square root written in the simplest form has: Simplify
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How to fill out unit 9 simplifying radicals

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How to fill out unit 9 simplifying radicals:

01
Start by identifying the given radical expression. This could be a square root, cube root, or any other nth root.
02
Determine the prime factors of the number inside the radical. For example, if the expression is √75, the prime factors of 75 are 3 and 5.
03
Group the prime factors in pairs. In the case of √75, we can pair 3 and 5 together.
04
Bring one factor from each pair outside the radical. For √75, we can bring out the factor 3 since it has a pair.
05
Multiply the factors that come out of the radical. In this case, 3 is brought out, so we have √75 = 3√(5).
06
Simplify any remaining radicals inside the expression. For example, if we have √(10), we can simplify it further if its factors are known.
07
Check for any like terms that can be combined. For instance, if we have 2√(5) + 3√(5), we can combine them to get a simplified form of 5√(5).
08
Repeat these steps for each radical expression in unit 9 until they are all simplified.

Who needs unit 9 simplifying radicals:

01
Students studying algebra or precalculus may need to learn how to simplify radicals as it is an important concept in these subjects.
02
Students preparing for standardized tests, such as the SAT or ACT, often encounter questions involving simplifying radicals. Therefore, they would benefit from studying and understanding unit 9.
03
Anyone who needs to work with radical expressions in their field of work or studies, such as engineers or physicists, would need to know how to simplify radicals in order to simplify calculations or solve equations.
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Unit 9 simplifying radicals is a mathematical concept that involves finding the square root of a number using factors.
Students learning about radicals and square roots in math classes are required to understand and practice unit 9 simplifying radicals.
To fill out unit 9 simplifying radicals, students need to identify the radicand, factor the radicand into its prime factors, and simplify the radicals by taking out any perfect squares from under the radical symbol.
The purpose of unit 9 simplifying radicals is to make complex square roots simpler and easier to work with in mathematical calculations.
Students must report the radicand, the perfect square factors, and the simplified radical form of the expression on unit 9 simplifying radicals.
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